## Math Problem Statement

show that i*j = j*k = k*i = 0

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Quaternions

Imaginary Units

Algebra

### Formulas

i^2 = j^2 = k^2 = ijk = -1

i * j = k

j * k = i

k * i = j

### Theorems

Non-commutative multiplication rules of quaternions

### Suitable Grade Level

Grades 11-12 and Undergraduate

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